An N (L L/2)-dimensional representation of the periodic Temperley-Lieb algebra TLL(x) is presented. It is also a representation of the cyclic group ZN. We choose x = 1 and define a Hamiltonian as a sum of the generators ...

Nichols algebras are an important tool for the classification of Hopf algebras. Within those with finite GK dimension, we study homological invariants of the super Jordan plane, that is, the Nichols algebra A=B(V(−1,2)). ...

We define the Virasoro algebra action on imaginary Verma modules for affine and construct an analogue of the Knizhnik-Zamolodchikov equation in the operator form. Both these results are based on a realization of imaginary ...

In a previous letter (Alcaraz F C et al 2014 J. Phys. A: Math. Theor. 47 212003) we have presented numerical evidence that a Hamiltonian expressed in terms of the generators of the periodic Temperley-Lieb algebra has, in ...

By means of the Lie algebra expansion method, the centrally extended conformal algebra in two dimensions and the bms3 algebra are obtained from the Virasoro algebra. We extend this result to construct new families of ...

Nowadays, there is a solid consensus about the rapid progress of artificial intelligence and its potential usage in the different functions of society. This paper presents an example about contribution in theoretical physics ...

Nowadays, there is a solid consensus about the rapid progress of artificial intelligence and its potential usage in the different functions of society. This paper presents an example about contribution in theoretical physics ...